On certain new notion of order Cauchy sequences, continuity in (l)-group

Abstract

In this paper, we introduce the notion order quasi-Cauchy se-quences, downward and upward order quasi-cauchy sequences, order half Cauchy sequences. Next we consider associated idea of continuity namely, ward order continuous functions [2] and investigated certain intersting results. The entire investigation is perform in (l)-group setting.

Keywords

• (l)-group
• order quasi-cauchy sequences
• statistical ward continuity
• uniform order continuity
• statistical ward compact set
• downward order continuity
• upward order continuity.